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Finding the Third Proportional to 638,628 and 960,606

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Solution

The third proportional to 638,628 and 960,606 is: 1,444,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,628 : 960,606 = 960,606 : x
  2. Step 2: Convert to fraction form
    638,628/960,606 = 960,606/x
  3. Step 3: Cross multiply
    638,628x = 960,606 × 960,606
  4. Step 4: Simplify right side
    638,628x = 922,763,887,236
  5. Step 5: Solve for x
    x = 922,763,887,236/638,628
  6. Step 6: Final answer
    x = 1,444,916.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.